Trace formulas for magnetic Schrödinger operators on periodic graphs and their applications
From MaRDI portal
Publication:6178788
DOI10.1016/j.laa.2023.07.025arXiv2206.09663OpenAlexW4385326559MaRDI QIDQ6178788
Natalia Saburova, Evgeny L. Korotyaev
Publication date: 5 September 2023
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.09663
periodic graphstrace formulasmagnetic fluxesestimates of the total bandwidthdiscrete magnetic Schrödinger operators
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Linear difference operators (47B39) Infinite graphs (05C63)
Cites Work
- Chambers's formula for the graphene and the Hou model with kagome periodicity and applications
- A Feynman-Kac-Itô formula for magnetic Schrödinger operators on graphs
- Magnetic Schrödinger operators on periodic discrete graphs
- Essential self-adjointness for combinatorial Schrödinger operators. III: Magnetic fields
- On the measure of the spectrum for the almost Mathieu operator
- On the measure of gaps and spectra for discrete 1D Schrödinger operators
- Fluxes, Laplacians, and Kasteleyn's theorem
- Discrete magnetic Laplacian
- Zero measure spectrum for the almost Mathieu operator
- Spectral gaps and discrete magnetic Laplacians
- Perturbation theory for linear operators.
- On the total bandwidth for the rational Harper's equation
- The spectrum of magnetic Schrödinger operators on a graph with periodic structure.
- Trace formulas for Schrödinger operators on periodic graphs
- On the spectrum of critical almost Mathieu operators in the rational case
- Matching number, Hamiltonian graphs and magnetic Laplacian matrices
- Two-sided estimates of total bandwidth for Schrödinger operators on periodic graphs
- Magnetic-sparseness and Schrödinger operators on graphs
- Invariants for Laplacians on periodic graphs
- Schrödinger operators on periodic discrete graphs
- Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
- Cantor spectrum of graphene in magnetic fields
- Interlacing families. I: Bipartite Ramanujan graphs of all degrees
- On the location of spectral edges in \mathbb {Z}-periodic media
- Trace formulae and spectral statistics for discrete Laplacians on regular graphs (I)
- Topological Crystallography
- Spectral estimates for Schrödinger operators on periodic discrete graphs
- Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
- Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
